Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38220j |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
61188981366240000 = 28 · 36 · 54 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1154260,-476780408] |
[a1,a2,a3,a4,a6] |
j |
5646857395652944/2031631875 |
j-invariant |
L |
1.747890553054 |
L(r)(E,1)/r! |
Ω |
0.14565754609006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660s2 5460e2 |
Quadratic twists by: -3 -7 |